Скачать или смотреть e^Pi vs Pi^e : which is larger? (pi day battle)

This is a short, animated visual proof demonstrating which of the values e^pi or pi^e is larger (where pi is the circle constant and e is Euler's constant) .

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This animation is based on a visual proof by Bikash Chakraborty from volume 41 issue no. 56 of the Mathematical Intelligencer in 2019 (https://doi.org/10.1007/s00283-018-98...)

Here is wide format, high def, slightly longer version:    • e^ Pi vs Pi^e: which is bigger? II A Pre P...  

For two visual proofs of a more general version of this inequality, see
   • e^ Pi vs Pi^e: which is bigger? A Pi day b...   ;
   • When is A^B greater than B^A I (visual proof)   ;
and
   • When is A^B greater than B^A II (visual pr...  

#math​ #inequality #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #mathshorts​ #mathvideo​ #mtbos​ #euler #pi #piday

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